Quantum cluster equilibrium theory applied to liquid ammonia

Author:

Maya Josué12,Malloum Alhadji34ORCID,Fifen Jean Jules1ORCID,Dhaouadi Zoubeida5,Fouda Henri Paul Ekobena1,Conradie Jeanet4ORCID

Affiliation:

1. Department of Physics, Faculty of Science University of Ngaoundere Ngaoundere Cameroon

2. National Radiation Protection Agency Yaounde Cameroon

3. Department of Physics, Faculty of Science University of Maroua Maroua Cameroon

4. Department of Chemistry University of the Free State Bloemfontein South Africa

5. Laboratoire de Spectroscopie Atomique Moléculaire et Application Université de Tunis El Manar Tunis Tunisie

Abstract

AbstractThrough this paper, the authors propose using the quantum cluster equilibrium (QCE) theory to reinvestigate ammonia clusters in the liquid phase. The ammonia clusters from size monomer to hexadecamer were considered to simulate the liquid ammonia in this approach. The clusterset used to model the liquid ammonia is an ensemble of different structures of ammonia clusters. After studious research of the representative configurations of ammonia clusters through the cluster research program ABCluster, the configurations have been optimized at the MN15/6‐31++G(d,p) level of theory. These optimizations lead to geometries and frequencies as inputs for the Peacemaker code. The QCE study of this molecular system permits us to get the liquid phase populations in a temperature range of 190–260 K, covering the temperatures from the melting point to the boiling point. The results show that the population of liquid ammonia comprises mainly the ammonia hexadecamer followed by pentadecamer, tetradecamer, and tridecamer. We noted that the small‐sized ammonia clusters do not contribute to the population of liquid ammonia. In addition, the thermodynamic properties, such as heat of vaporization, heat capacity, entropy, enthalpy, and free energies, obtained by the QCE theory have been compared to the experiment given some relatively good agreements in the gas phase and show considerable discrepancies in liquid phase except the density. Finally, based on the predicted population, we calculated the infrared spectrum of liquid ammonia at 215 K temperature. It comes out that the calculated infrared spectrum qualitatively agrees with the experiment.

Funder

National Research Foundation

Publisher

Wiley

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